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On Gaschütz's theory of generalized Sylow subgroups

✍ Scribed by Trevor Hawkes


Book ID
112501577
Publisher
Springer
Year
1980
Tongue
English
Weight
454 KB
Volume
35
Category
Article
ISSN
0003-889X

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📜 SIMILAR VOLUMES


On Sylow Subgroups of Local Galois-Group
✍ S. Liedahl 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 517 KB

Let \(p\) be an odd prime, and let \(\mathscr{P}\) denote the class of \(p\)-groups which occur as Sylow \(p\)-subgroups of finite Galois groups over the \(p\)-adic field \(Q_{p}\). We prove that \(\mathscr{P}\) contains every abelian \(p\)-group of rank \(\leq(p-1)^{2}\), and that certain nonabelia